New Techniques Based On Odd-Edge Total Colorings In Topological Cryptosystem

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	New Techniques Based On Odd-Edge Total Colorings In Topological Cryptosystem
	Yao, Bing 1
	2022-05-05
发表期刊	arXiv
简介	For building up twin-graphic lattices towards topological cryptograph, we define four kinds of new odd-magic-type colorings: odd-edge graceful-difference total coloring, odd-edge edge-difference total coloring, odd-edge edge-magic total coloring, and odd-edge felicitous-difference total coloring in this article. Our RANDOMLY-LEAF-ADDING algorithms are based on adding randomly leaves to graphs for producing continuously graphs admitting our new odd-magic-type colorings. We use complex graphs to make caterpillar-graphic lattices and complementary graphic lattices, such that each graph in these new graphic lattices admits a uniformly W-magic total coloring. On the other hands, finding some connections between graphic lattices and integer lattices is an interesting research, also, is important for application in the age of quantum computer. We set up twin-type W-magic graphic lattices (as public graphic lattices vs private graphic lattices) and W-magic graphic-lattice homomorphism for producing more complex topological number-based strings. © 2022, CC BY.
收录类别	EI
关键词	Cryptography Quantum computers Topology Edge difference Integer lattice Odd-magic-type coloring Quanta computers Topological coding Topological number Total coloring Twin-graphic lattice
语种	英语
出版者	arXiv
原始文献类型	Preprint (PP)
文献类型	其他
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/33112
专题	兰州财经大学
作者单位	1.College of Mathematics and Statistics, Northwest Normal University, Lanzhou; 730070, China; 2.China Northwest Center of Financial Research, Lanzhou University of Finance and Economics, Lanzhou; 730020, China; 3.School of Information Engineering, Lanzhou University of Finance and Economics, Lanzhou; 730020, China; 4.Key Laboratory of E-Business Technology and Application, Gansu Province, Lanzhou; 730020, China
推荐引用方式 GB/T 7714	Yao, Bing. New Techniques Based On Odd-Edge Total Colorings In Topological Cryptosystem. 2022-05-05.